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Finding the Third Proportional to 610,366 and 1,325,809

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Solution

The third proportional to 610,366 and 1,325,809 is: 2,879,861.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,366 : 1,325,809 = 1,325,809 : x
  2. Step 2: Convert to fraction form
    610,366/1,325,809 = 1,325,809/x
  3. Step 3: Cross multiply
    610,366x = 1,325,809 × 1,325,809
  4. Step 4: Simplify right side
    610,366x = 1,757,769,504,481
  5. Step 5: Solve for x
    x = 1,757,769,504,481/610,366
  6. Step 6: Final answer
    x = 2,879,861.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.